Mathematics Grade 5 15 min

Multiply by 2-digit numbers: word problems

Multiply by 2-digit numbers: word problems

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Introduction & Learning Objectives

Learning Objectives Identify keywords in word problems that indicate multiplication. Translate real-world scenarios into multiplication expressions involving 2-digit numbers. Apply the standard algorithm to multiply a multi-digit number by a 2-digit number. Solve multi-step word problems requiring multiplication by a 2-digit number. Estimate products to check the reasonableness of answers in word problems. Clearly explain the steps taken to solve a 2-digit multiplication word problem. Ever wonder how many cookies you'd need for a huge party if each guest eats a certain number? 🍪 Let's find out how multiplication helps us solve these real-life puzzles! In this lesson, you'll learn how to tackle word problems that require multiplying by 2-digit numbers. We&#03...
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Key Concepts & Vocabulary

TermDefinitionExample MultiplicationA mathematical operation that represents repeated addition of the same number. It's used to find the total number of items in equal groups.If you have 3 bags with 5 apples each, multiplication ($3 \times 5$) tells you there are 15 apples in total. FactorsThe numbers that are multiplied together to get a product.In the problem $15 \times 23 = 345$, the numbers 15 and 23 are the factors. ProductThe result or answer obtained from a multiplication operation.In the problem $15 \times 23 = 345$, the number 345 is the product. Word ProblemA mathematical problem presented in a narrative or descriptive form, requiring you to read and understand the situation before solving.A store sells 12 boxes of pencils, with 24 pencils in each box. How many pencils are...
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Core Formulas

Word Problem Solving Strategy Understand, Plan, Solve, Check A systematic approach to solving any word problem: 1. **Understand:** Read the problem carefully. What information is given? What is the question asking? 2. **Plan:** Decide which operation(s) to use (in this case, multiplication). How will you solve it? 3. **Solve:** Perform the calculations accurately. 4. **Check:** Review your answer. Does it make sense? Is it reasonable? You can use estimation to help check. Standard Multiplication Algorithm (2-Digit by Multi-Digit) $ \text{1. Multiply the top number by the ones digit of the bottom number, regrouping if necessary.} \\ \text{2. Write a zero as a placeholder in the ones column below your first partial product.} \\ \text{3. Multiply the top number by the tens di...

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Sample Practice Questions

Challenging
A farmer harvests 45 bushels of corn from each of his 32 fields. He sells 1,200 bushels at the market. He had 50 bushels in storage before the harvest. How many bushels does he have in storage now?
A.1,440
B.240
C.1,490
D.290
Challenging
A rectangular community garden is 65 feet long. Its width is 28 feet shorter than its length. If fencing costs $15 per foot, what is the total cost to put a fence around the entire garden?
A.$1,455
B.$2,415
C.$975
D.$3,060
Challenging
A factory produced 165 cars per day for the first 15 days of the month. For the next 15 days, it increased production to 180 cars per day. How many more cars did it produce in the second half of the month than in the first half?
A.225
B.15
C.2,700
D.2,475

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